#5264: [with patch, needs review] optimize small permgroup elements
--------------------------+-------------------------------------------------
 Reporter:  robertwb      |        Owner:  joyner    
     Type:  defect        |       Status:  new       
 Priority:  major         |    Milestone:  sage-3.4.1
Component:  group_theory  |   Resolution:            
 Keywords:                |  
--------------------------+-------------------------------------------------
Comment (by robertwb):

 Before:

 {{{
 sage: G = SymmetricGroup(3)
 sage: L = [G.random_element() for _ in range(100)] * 17
 sage: timeit("prod(L)")
 625 loops, best of 3: 651 µs per loop

 sage: G = SymmetricGroup(10)
 sage: L = [G.random_element() for _ in range(100)] * 17
 sage: timeit("prod(L)")
 625 loops, best of 3: 766 µs per loop

 sage: G = SymmetricGroup(20)
 sage: L = [G.random_element() for _ in range(100)] * 17
 sage: timeit("prod(L)")
 625 loops, best of 3: 854 µs per loop
 }}}

 After:
 {{{
 sage: sage: G = SymmetricGroup(3)
 sage: sage: L = [G.random_element() for _ in range(100)] * 17
 sage: sage: timeit("prod(L)")
 625 loops, best of 3: 485 µs per loop

 sage: sage: G = SymmetricGroup(10)
 sage: sage: L = [G.random_element() for _ in range(100)] * 17
 sage: sage: timeit("prod(L)")
 625 loops, best of 3: 564 µs per loop

 sage: sage: G = SymmetricGroup(20)
 sage: sage: L = [G.random_element() for _ in range(100)] * 17
 sage: sage: timeit("prod(L)")
 625 loops, best of 3: 876 µs per loop
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5264#comment:1>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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